HARMONIC 1-TYPE CURVES AND WEAK BIHARMONIC CURVES IN LORENTZIAN 3-SPACE

Kocayigit, H.; Onder, Mehmet; Hacisalihoglu, H.

doi:10.2478/aicu-2013-0018

HARMONIC 1-TYPE CURVES AND WEAK BIHARMONIC CURVES IN LORENTZIAN 3-SPACE

Kocayigit H., Onder M., Hacisalihoglu H. H.

ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, vol.60, no.1, pp.109-124, 2014 (SCI-Expanded)

Publication Type: Article / Article
Volume: 60 Issue: 1
Publication Date: 2014
Doi Number: 10.2478/aicu-2013-0018
Journal Name: ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA
Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Page Numbers: pp.109-124
Keywords: harmonic 1-type curve, weak biharmonic curve, geodesic, helix, degenerate helix
Ankara University Affiliated: Yes

Abstract

In this paper, we give definitions and characterizations of harmonic 1-type and weak biharmonic curves by using the mean curvature vector field of a Frenet curve in the Lorentzian 3-space L-3. We also study weak biharmonic curves whose mean curvature vector fields are in the kernel of normal Laplacian del(perpendicular to). We give some theorems for them in L-3. Moreover, we give some characterizations and results for a Frenet curve in the same space.